Continue the following sequences based on their difference patterns.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the extended sequences based on the patterns identified:

1. Sequence: $1, 2, 3, 5, 6, 7$
The pattern of differences is $+1, +1, +2, +1, +1$ . Assuming this pattern of differences ( $+1, +1, +2$ ) repeats.

$7 + 2 = 9$
$9 + 1 = 10$
$10 + 1 = 11$
The extended sequence is: $\boxed{1, 2, 3, 5, 6, 7, \mathbf{9, 10, 11}}$

2. Sequence: $5, 2, 4$
The pattern of differences is $-3, +2$ . Assuming this pattern repeats.
$4 - 3 = 1$
$1 + 2 = 3$
$3 - 3 = 0$
The extended sequence is: $\boxed{5, 2, 4, \mathbf{1, 3, 0}}$

3. Sequence (D): $5, 7, 3, 1$
The pattern of differences is $+2, -4, -2$ . Assuming this pattern repeats.
$1 + 2 = 3$
$3 - 4 = -1$
$-1 - 2 = -3$
The extended sequence is: $\boxed{5, 7, 3, 1, \mathbf{3, -1, -3}}$

4. Sequence (C): $12, 9, 6, 4, 8$
The pattern of operations is $-3, -3, -2, +4$ . Assuming this pattern repeats.
$8 - 3 = 5$
$5 - 3 = 2$
$2 - 2 = 0$
$0 + 4 = 4$
The extended sequence is: $\boxed{12, 9, 6, 4, 8, \mathbf{5, 2, 0, 4}}$

5. Sequence (D): $9, 5, 6, 12, 4$
The pattern of operations is $-4, +1, \times 2, \div 3$ . Assuming this pattern repeats.
$4 - 4 = 0$
$0 + 1 = 1$
$1 \times 2 = 2$
$2 \div 3 = \frac{2}{3}$
The extended sequence is: $\boxed{9, 5, 6, 12, 4, \mathbf{0, 1, 2, \frac{2}{3}}}$

Continue the following sequences based on their difference patterns.

Step-by-step solution

$7 + 2 = 9$

$9 + 1 = 10$

$10 + 1 = 11$

$4 - 3 = 1$

$1 + 2 = 3$

$3 - 3 = 0$

$1 + 2 = 3$

$3 - 4 = -1$

$-1 - 2 = -3$

$8 - 3 = 5$

$5 - 3 = 2$

$2 - 2 = 0$

$0 + 4 = 4$

$4 - 4 = 0$

$0 + 1 = 1$

$1 \times 2 = 2$

$2 \div 3 = \frac{2}{3}$

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Continue the following sequences based on their difference patterns.

Step-by-step solution

7+2=97 + 2 = 97+2=9

9+1=109 + 1 = 109+1=10

10+1=1110 + 1 = 1110+1=11

4−3=14 - 3 = 14−3=1

1+2=31 + 2 = 31+2=3

3−3=03 - 3 = 03−3=0

1+2=31 + 2 = 31+2=3

3−4=−13 - 4 = -13−4=−1

−1−2=−3-1 - 2 = -3−1−2=−3

8−3=58 - 3 = 58−3=5

5−3=25 - 3 = 25−3=2

2−2=02 - 2 = 02−2=0

0+4=40 + 4 = 40+4=4

4−4=04 - 4 = 04−4=0

0+1=10 + 1 = 10+1=1

1×2=21 \times 2 = 21×2=2

2÷3=232 \div 3 = \frac{2}{3}2÷3=32​

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More Mathematics Questions

$7 + 2 = 9$

$9 + 1 = 10$

$10 + 1 = 11$

$4 - 3 = 1$

$1 + 2 = 3$

$3 - 3 = 0$

$1 + 2 = 3$

$3 - 4 = -1$

$-1 - 2 = -3$

$8 - 3 = 5$

$5 - 3 = 2$

$2 - 2 = 0$

$0 + 4 = 4$

$4 - 4 = 0$

$0 + 1 = 1$

$1 \times 2 = 2$

$2 \div 3 = \frac{2}{3}$